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How old is Beth now? ** Beth is 5+9=<<5+9=14>>14 now.
How many years ago was Beth 9 years old? ** Beth was 9 years old 14-9=<<14-9=5>>5 years ago.
How old was Joey 5 years ago? ** Joey was 9-5=<<9-5=4>>4.
#### 4 | In 5 years, Joey will be as old as Beth is now. If Joey is 9 now, how old was Joey when Beth was Joey's age now? | |
How many toy cars did Gerald give away? ** Gerald gave away 20 x 1/4 = <<20*1/4=5>>5 of his toy cars.
How many toy cars does Gerald have left? ** Therefore, he is left with 20 - 5 = <<20-5=15>>15 toy cars.
#### 15 | Gerald had 20 toy cars. He donated 1/4 of his toy cars to an orphanage. How many toy cars does Gerald have left? | |
How many students were absent last Monday? ** 28 x 2/7 = <<28*2/7=8>>8 students were absent last Monday.
How many students were present last Monday? ** So, 28 - 8 = <<28-8=20>>20 students were present last Monday.
#### 20 | There are 28 students in a class. Two-sevenths of them were absent last Monday. How many students were present last Monday? | |
How many sitting spaces are there in the park? ** In the park, 50 benches with a capacity of four people each have a total capacity of 50*4 = <<50*4=200>>200 sitting spaces.
How many empty spaces are there? ** If 80 people are already using spaces, the number of empty spaces is 200-80 =120
#### 120 | A park has 50 benches with a capacity of 4 people each. On a Sunday afternoon, 80 people were sitting on the benches. What's the number of available spaces on the benches that other people can sit on before the carrying capacity of the benches is full? | |
How many pounds of bass are there? ** The bass weigh 6 * 2 = <<6*2=12>>12 pounds in all.
How many pounds of salmon are there? ** The salmon weigh 2 * 12 = <<2*12=24>>24 pounds in all.
How many pounds of fish are there? ** The trout, bass, and salmon together weigh 8 + 12 + 24 = <<8+12+24=44>>44 pounds.
How many campers can they feed? ** Each camper will eat 2 pounds of fish, so Patricia and Jeffrey can feed 44 / 2 = <<44/2=22>>22 campers.
#### 22 | Patricia and Geoffrey went fishing to feed their group of campers. They caught an eight-pound trout, six two-pound bass, and two twelve-pound salmon. If each person will eat two pounds of fish, how many campers can they feed? | |
How many minutes did Mike spend washing cars? ** He spent 10 minutes *9 cars = <<10*9=90>>90 minutes washing cars
How many minutes did Mike spend changing oil? ** He spent another 15 minutes * 6 cars = <<15*6=90>>90 minutes changing oil.
How many minutes did Mike spend changing tires? ** He spent 2 cars * 30 minutes = <<2*30=60>>60 minutes changing tires.
How many minutes did Mike spend working? ** He spent 90 minutes + 90 minutes + 60 minutes = <<90+90+60=240>>240 minutes working
How many hours did Mike spend working? ** He spent 240 minutes / 60 minutes = <<240/60=4>>4 hours working
#### 4 | It takes 10 minutes to wash a car, 15 minutes to change oil, and 30 minutes to change a set of tires. If mike washes 9 cars, changes the oil on 6 cars, and changes two sets of tires how many hours did he work? | |
How much money does Woody need to save? ** Woody needs to save another $282 - $42 = $<<282-42=240>>240 to be able to afford a games console
How many weeks will it take Woody to save the money he needs for the game console? ** It will take Woody $240 / $24/week = <<240/24=10>>10 weeks to save up enough money
#### 10 | Woody wants to buy a games console that costs $282. Woody already has $42 and receives an allowance of $24 every week. How many weeks will it take him to save the money he needs for the game console? | |
How many boxes of apples are there? ** The total of boxes of apples is 10000 / 50 = <<10000/50=200>>200.
How much money will Travis be able ** Therefore the total amount he can take home is 200 x $35 = $<<200*35=7000>>7000.
#### 7000 | Travis has 10000 apples, and he is planning to sell these apples in boxes. Fifty apples can fit in each box. If he sells each box of apples for $35, how much will he be able to take home? | |
How many maggots did Bogan serve in total? ** Bogan served a total of <<20=20>>20 maggots
How many maggots did Bogan give the beetles in the first feeding? ** Bogan gave the beetles 10 maggots in the first feeding
How many maggots did Bogan give the beetles in the second feeding? ** Bogan gave the beetles 20-10=<<20-10=10>>10 maggots in the second feeding
#### 10 | Bogan laid out 10 maggots for her pet beetle. The beetle only ate 1 and Bogan had to throw out the rest. Later that day, she tried feeding again and the beetle ate 3. If Bogan served 20 maggots in total, how many did she attempt to feed the beetle the second time? | |
How many square feet is the largest room? ** The area of the largest room is 45 ft x 30 ft = <<45*30=1350>>1350 sq ft
How many square feet is the smallest room? ** The area of the smallest room is 15 ft x 8 ft = <<15*8=120>>120 sq ft
What is the difference in area between the largest room and the smallest room? ** The difference between the two is 1350 sq ft - 120 sq ft = <<1350-120=1230>>1230 sq ft
#### 1230 | The largest room in Mrs. McAvoy's house is 45 feet wide and 30 feet long. The smallest room in that same house is 15 feet wide and 8 feet long. What is the difference in area between the largest room and the smallest room? | |
How much money did they make? ** They made $10 because 2 x 5 = <<2*5=10>>10
How much money did they make off single pieces? ** They made $1 off single pieces because 100 x .01 = <<100*.01=1>>1
How much money did they make off double pieces? ** They made $.9 off double pieces because 45 x .02 = <<45*.02=.9>>.9
How much money did they make off triple pieces? ** They made $1.5 off triple pieces because 50 x .03 = <<50*.03=1.5>>1.5
How much money did they earn off the first three types? ** They earned $3.4 off the first three types because 1 + .9 + 1.5 = <<1+.9+1.5=3.4>>3.4
How much money did they earn off the quadruroes? ** They earned $6.6 off the quadruple pieces because 10 - 3.4 = <<10-3.4=6.6>>6.6
How many quadruple pieces did they sell? ** They sold 165 quadruple pieces because 6.6 / .04 = <<6.6/.04=165>>165
#### 165 | Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell? | |
How much does Logan spend every year? ** Logan spends 20000+5000+8000 = <<20000+5000+8000=33000>>33000 a year.
How much does Logan have left every year? ** Logan has 65000-33000 = <<65000-33000=32000>>32000 left a year.
How much more money must he make each year? ** Logan needs to make 42000-32000 = <<42000-32000=10000>>10000 more a year.
#### 10,000 | Logan makes $65,000 a year. He spends $20,000 on rent every year, $5000 on groceries every year, and $8000 on gas every year. If he wants to have at least $42000 left, how much more money must he make each year? | |
How many ripe oranges were there? ** There were 96/2 = <<96/2=48>>48 ripe oranges.
How many ripe oranges were eaten? ** 48/4 = <<48/4=12>>12 ripe oranges were eaten.
How many unripe oranges were eaten? ** 48/8 = <<48/8=6>>6 unripe oranges were eaten.
How many oranges were eaten in total? ** There were 12+6 = <<12+6=18>>18 oranges eaten in total.
How many oranges were left eaten in total? ** There were 96-18 = <<96-18=78>>78 oranges left uneaten.
#### 78 | Of 96 oranges, half were ripe. If 1/4 of the ripe oranges were eaten and 1/8 of the unripe oranges were eaten, how many were left eaten in total? | |
How many cupcakes were left after Carla sampled 5 cupcakes from each batch? ** If Carla sampled 5 cupcakes from each batch and fed them to her dogs, each batch had 65-5 = 60 cupcakes afterwards.
How many cupcakes did Carla's daughter and her friends receive? ** Since Carla made 45 batches of cupcakes for her daughter's birthday party, after removing the 5 cupcakes from each batch, Carla's daughter and her friends received 45*60 = <<45*60=2700>>2700 cupcakes.
How many people were at the party? ** The total number of people at the party is 19 friends + 1 daughter = <<19+1=20>>20
How many cupcakes did Carla's daughter and her friends each receive? ** After sharing the cupcakes equally among them, Carla's daughter and her friends each received 2700/20 = <<2700/20=135>>135 cupcakes
#### 135 | Baking in batches of 65 cupcakes, Carla made 45 batches of cupcakes for her daughter's birthday party. She then took 5 cupcakes from each batch, and fed them to her dogs. If Carla's daughter had 19 friends and they shared the remaining cupcakes equally among them, including the daughter, calculate the number of cupcakes that each of Carla's daughter's friends ate. | |
How many pictures did Peter draw? ** Peter drew 5+3 = <<5+3=8>>8 pictures.
How many pictures did Quincy draw? ** Quincy drew 20+8 = <<20+8=28>>28 pictures.
How many pictures did Randy, Peter, Quincy draw altogether? ** Altogether they drew 5+8+28 = <<5+8+28=41>>41 pictures
#### 41 | Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did they draw altogether? | |
How much money does Sally need to purchase books for each student? ** To purchase a book for each student, Sally needs: 30 x $12 = $<<30*12=360>>360.
How much money does Sally need to pay out of pocket? ** She thus needs to pay $360 - $320 = $<<360-320=40>>40 out of pocket.
#### 40 | Sally teaches elementary school and is given $320 to spend on books for her students. A reading book costs $12 and there are 30 students in her class. Unfortunately, if the money she is given by the school to pay for books is not sufficient, she will need to pay the rest out of pocket. How much money does Sally need to pay out of pocket, to buy every student a reading book? | |
How old is Harry's father? ** Harry's father is 50 years + 24 years = <<50+24=74>>74 years old.
How old is Harry's mother? ** Harry's mother is 1/25 * 50 years = <<1/25*50=2>>2 years younger than his father.
How old is Harry's mother? ** So she is currently 74 years - 2 years = <<74-2=72>>72 years old.
How old was Harry's mother when she gave birth to him? ** So when Harry was born, she was 72 years - 50 years = <<72-50=22>>22 years old.
#### 22 | Harry is 50 years old. His father is currently 24 years older than he is. How old was his mother when she gave birth to him if she is younger than his father by 1/25 of Harry's current age? | |
How many gigs did Mark play? ** He played 7*2 = <<7*2=14>>14 gigs
How long was the long song? ** The long song was 5*2=<<5*2=10>>10 minutes
How many minutes did Mark play? ** So all the gigs were 5+5+10=<<5+5+10=20>>20 minutes
How many minutes did Mark play? ** So he played 14*20=140 minutes
#### 280 | Mark does a gig every other day for 2 weeks. For each gig, he plays 3 songs. 2 of the songs are 5 minutes long and the last song is twice that long. How many minutes did he play? | |
How many people were on the bus at the first stop? ** The bus started with 50 people – 15 who got off at the first stop = <<50-15=35>>35 people on the bus.
How many people were on the bus at the second stop? ** At the second stop, 35 people on the bus – 8 who got off = <<35-8=27>>27 people.
How many people were on the bus after the second stop? ** Then there were 27 people + 2 who got on = <<27+2=29>>29 people on the bus.
How many people are on the bus after the third stop? ** At the third stop, 29 people on the bus – 4 who got off = <<29-4=25>>25 people on the bus.
How many people are on the bus after the third stop? ** Then there were 25 people on the bus + 3 who got on = <<25+3=28>>28 people on the bus.
#### 28 | There were 50 people on the city bus. At the first stop, 15 people got off. At the next stop 8 people got off and 2 got on. At the third stop, 4 people got off and 3 people got on. How many people are on the bus after the third stop? | |
How many parts are there? ** The students are divided into 3 + 2 = <<3+2=5>>5 parts where 3 parts are for males and 2 parts are for females.
How many students are in each part? ** Each part represents 1000/5 = <<1000/5=200>>200 students.
How many males are there? ** So, there are 3 x 200 = <<3*200=600>>600 males.
How many females are there? ** And there are 2 x 200 = <<2*200=400>>400 females.
How many males play basketball? ** Hence, 600 x 2/3 = 400 males play basketball.
How many females play basketball? ** And 400 x 1/5 = <<400*1/5=80>>80 females play basketball.
How many students play basketball? ** A total of 400 + 80 = <<400+80=480>>480 students play basketball.
How many students do not like to play basketball? ** Therefore, 1000 - 480 = <<1000-480=520>>520 do not like to play basketball.
What percent of the school do not like to play basketball? ** The percentage of the school that do not like to play basketball is 520/1000 * 100 = <<520/1000*100=52>>52
#### 52 | In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students? | |
How many cats were adopted? ** 15/3=<<15/3=5>>5 cats were adopted out of 15
How many cats were left? ** There were 15-5 = <<15-5=10>>10 cats left
How many more cats were added? ** 5*2=<<5*2=10>>10 more cats were added.
How many cats are there in the shelter? ** This makes 10+10=<<10+10=20>>20 cats in the shelter.
How many dogs came into the shelter? ** 20*2=<<20*2=40>>40 dogs came into the shelter.
How many total animals are there in the shelter? ** There are now 20+40=<<20+40=60>>60 animals in the shelter.
#### 60 | There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, twice as many dogs showed up as there are cats. How many total animals are there in the shelter? | |
How much is the discount? ** The amount of the discount is $120 x 0.2 = $<<120*0.2=24>>24.
What will be the new price? ** The new price will be $120 – $24 = $<<120-24=96>>96.
#### 96 | A department store displays a 20% discount on all fixtures. What will be the new price of a 25 cm high bedside lamp that was worth $120? | |
How many goats does Mr. Rainwater have? ** Let X be the number of chickens Mr. Rainwater has. He has 4 goats/cow * 9 cows = <<4*9=36>>36 goats on his farm.
How many chickens does he have? ** So he has 36 goats / 2 goats/chicken = <<36/2=18>>18 chickens.
#### 18 | Mr. Rainwater has some goats, 9 cows and some chickens. He has 4 times as many goats as cows and 2 times as many goats as chickens. How many chickens does he have? | |
How many girls are there? ** The girls make up one-third of the campers, so there are 96 /3 = <<96/3=32>>32 girls.
How many boys are there? ** The boys make up two-thirds of the campers, so there are 32 + 32 = <<32+32=64>>64 boys.
How many girls want to toast marshmallows? ** There are 32 x 75% = <<32*75*.01=24>>24 girls who want to toast marshmallows.
How many boys want to toast marshmallows? ** There are 64 x 50% = <<64*50*.01=32>>32 boys who want to toast marshmallows.
How many marshmallows do they need? ** They need 24 + 32 = <<24+32=56>>56 marshmallows.
#### 56 | At camp Wonka, there are 96 campers. Two-thirds of the campers are boys, and the remaining one-third are girls. 50% of the boys want to toast marshmallows and 75% of the girls want to toast marshmallows. If each camper gets one marshmallow to toast, how many marshmallows do they need? | |
How much did they sell each month? ** They sold $200 worth of cars each month because 4 x 50 = <<4*50=200>>200
How much did they make each month? ** They made $100 a month off cars because 200 - 100 = <<200-100=100>>100
How much did they sell each month? ** They sold $400 worth of motorcycles each month because 8 x 50 = <<8*50=400>>400
How much do they make each month? ** They make $150 a month off motorcycles because 400 - 250 = <<400-250=150>>150
How much more profit do they make per month selling motorcycles instead of cars? ** They make $50 more a month off motorcycles than cars because 150 - 100 = <<150-100=50>>50
#### 50 | A factory decides to stop making cars and start making motorcycles instead. When it made cars, per month, it cost $100 for materials, they could make 4 cars, and they sold each car for $50. Now that they make motorcycles it costs $250 for materials, but they sell 8 of them for $50 each. How much more profit do they make per month selling motorcycles instead of cars? | |
How much did Gwen spend on stock A? ** One-third of her bonus was $900/3 = $<<900/3=300>>300.
How much was stock A worth after one year? ** After one year, stock A doubled in value and was worth $300*2 = $<<300*2=600>>600.
How much was stock B worth after one year? ** After one year, stock B doubled in value and was worth $300*2 = $<<300*2=600>>600.
How much was stock C worth after one year? ** After one year, stock C had lost half its value and was worth $300/2 = $<<300/2=150>>150.
How much were Gwen's stocks worth at the end of the year? ** Altogether, at the end of the year, Gwen's stocks were worth $600+$600+$150 = $<<600+600+150=1350>>1350
#### 1350 | Gwen received a $900 bonus at work and decided to invest this money in the stock market. She spent one-third of her bonus on stock A, one-third on stock B, and the remaining one-third on stock C. After one year, stock A and stock B had doubled in value, while stock C had lost half of its value. At the end of the year, how much were Gwen's stocks worth, in dollars? | |
How many people does John have on his friends list? ** John has 75*3=<<75*3=225>>225 people on his friends list
How many people are on the combined list? ** So that means there are 225+75=<<225+75=300>>300 people on the list
How many people are on the combined list? ** So once you remove duplicates there are 300-25=<<300-25=275>>275 people
#### 275 | James and John combine their friends lists. James has 75 friends. John has 3 times as many friends as James. They share 25 friends. How many people are on the combined list? | |
How many minutes does it take Jennifer to groom her dogs? ** She has 2 dogs and it takes 20 minutes to groom just 1 dog so it takes her 2*20 = <<2*20=40>>40 minutes per day to groom 2 dogs
How many minutes does Jennifer spend grooming her dogs in 30 days? ** In 30 days, she will have spent 30*40 = <<30*40=1200>>1,200 minutes grooming her dogs
How many hours does Jennifer spend grooming her dogs in 30 days? ** There are 60 minutes in an hour so she spends 1200/60 = <<1200/60=20>>20 hours grooming her dogs
#### 20 | It takes Jennifer 20 minutes to groom each of her 2 long hair dachshunds. If she grooms her dogs every day, how many hours does she spend grooming her dogs in 30 days? | |
How much profit did Jim make from each tire repair? ** From each tire repair, he made 20-5=$<<20-5=15>>15 profit
How much profit did Jim make from repairs? ** So repairs made him a profit of 15*300=$<<15*300=4500>>4500
How much profit did Jim make from the two complex repairs? ** The two complex repairs each made him 300-50=$<<300-50=250>>250 profit
How much profit did Jim make from the two complex repairs? ** So those added 250*2=$<<250*2=500>>500
How much profit did Jim make from everything? ** So his total profit from everything was 4500+500+2000=$<<4500+500+2000=7000>>7000
How much profit did Jim make? ** So he made a profit of 7000-4000=$<<7000-4000=3000>>3000
#### 3000 | Jim decides to open up a bike shop. The most common repair he does is fixing bike tires. He charges $20 for this and it cost him $5 in parts. In one month Jim does 300 of these repairs. He also does 2 more complex repairs for $300 each and cost $50 in parts. He also sells $2000 profit worth of things from his retail shop. If rent and other fixed expense for the shop is $4000 a month how much profit did the shop make? | |
How much will Mary pay for apples? ** For 5 apples, Mary will pay 5*1= <<5*1=5>>5 dollars.
How much will Mary pay for oranges? ** For 3 oranges, she will pay 3*2= <<3*2=6>>6 dollars.
How much will Mary pay for bananas? ** For 2 bananas, she will pay 2*3 = <<2*3=6>>6 dollars.
How many fruits did Mary buy? ** She bought 5+3+2=<<5+3+2=10>>10 fruits
How much of a discount does Mary get? ** For 10 fruits, Mary gets a discount of 10/5 = <<10/5=2>>2 dollars.
How much will Mary pay? ** In total, the bill is 5 + 6 + 6 = <<5+6+6=17>>17 dollars.
How much will Mary pay? ** Subtracting the discount offered by the stores, Mary will pay 17 - 2 = <<17-2=15>>15 dollars.
#### 15 | Mary went to the store to buy fruit. Apples cost $1, oranges cost $2, and bananas cost $3. For every 5 fruits that customers buy, the store offers a $1 discount. Mary buys 5 apples, 3 oranges, and 2 bananas. How much will she pay? | |
How much did Mark deposit? ** Five times the amount Mark deposited is $88 x 5 = $<<88*5=440>>440.
How much did Mark deposit? ** So, Mark deposited $440 - $40 = $<<440-40=400>>400.
#### 400 | Mark deposited $88 in a bank. Bryan deposited $40 less than five times as much as Mark. How much did Mark deposit in the bank? | |
How many circuits did Polly circle the track in one half hour? ** Polly circled the one-quarter mile track 12 times in 0.5 hours at a speed of 12/0.5=24 circuits of the track per hour.
How fast did Polly circle the track? ** 24/4 = <<24/4=6>>6 miles per hour
What speed did Gerald's car average, in miles per hour? ** Gerald traveled at a speed half of what Polly traveled for an average speed of 6/2=<<6/2=3>>3 miles per hour.
#### 3 | Polly and Gerald went for a fun afternoon riding mini race cars at the munchkin track, which is a one-quarter mile circular track. Polly managed to circle the track 12 times in one half hour, but Gerald's car was malfunctioning, and he only moved at an average speed half of what Polly did. What speed did Gerald's car average, in miles per hour? | |
How much did she originally pay? ** Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount.
How much did she originally pay? ** 25% of the original amount = (25/100)*original amount = $125
How much did she originally pay? ** Multiplying both sides by (100/25) gives: original amount = (100/25)*$125 = $<<(100/25)*125=500>>500
#### 500 | Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally? | |
How much do 10 seats cost? ** Ten seats amount to $30 x 10 = $<<30*10=300>>300.
How much is the discount? ** So there is $300 x 10/100 = $<<300*10/100=30>>30 discount for each 10 seats purchased.
How much do 10 seats cost? ** Thus, the total cost for every 10 seats is $300 - $30 = $<<300-30=270>>270.
How many seats are being added? ** The school is going to buy 5 x 8 = <<5*8=40>>40 seats.
How many sets of 10 seats are being bought? ** This means that the school is going to buy 40/10 = <<40/10=4>>4 sets of 10 seats.
How much will the school pay for the new seats? ** Therefore, the school will pay a total of $270 x 4 = $<<270*4=1080>>1080 for the new seats
#### 1080 | A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats? | |
How many brown bears are there? ** If there are 60 black bears in the park and 40 more brown bears than black bears, there are 60+40 = <<60+40=100>>100 brown bears.
How many bears are there in the park? ** The number of black and brown bears in the park is 100+60 = <<100+60=160>>160
How many white bears are there? ** Twice the number of black bears as white bears means 60/2 = <<60/2=30>>30 white bears.
How many bears are there in the national park? ** The population of bears in the national park is 30+160 = <<30+160=190>>190
#### 190 | Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park. | |
How many gold bars does Steve have after losing 20 of them? ** He only has 100 - 20 = <<100-20=80>>80 gold bars after losing 20 of them.
How many gold bars does Steve give each of his friends? ** He then gives each of his friends 80 ÷ 4 = <<80/4=20>>20 gold bars.
#### 20 | Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns? | |
How many women were there before the new hires? ** 1/3rd of the workers before the new hires were women because 1 - (2/3) = 1/3
How many women were there before the new hires? ** There were 30 women working for the company before the new hires
How many women are there now? ** There are now 40 women working for the company because 30 + 10 = <<30+10=40>>40
How many people are there now? ** There are 100 people working for the company because 90 + 10 = <<90+10=100>>100
What is the proportion of women working in the company now? ** The proportion of women working in the company is .4 because 40 / 100 = <<40/100=.4>>.4
What is the percentage of women working in the company now? ** The percentage of women working in the company is now 40 because .4 x 100 = <<.4*100=40>>40
#### 40 | An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now? | |
How many ears of corn does Hilary have to shuck? ** She has 108 * 4 = <<108*4=432>>432 ears of corn to shuck.
How many kernels of corn does Hilary get? ** She gets 500 kernels of corn from half the ears and 500 + 100 = <<500+100=600>>600 kernels from the other half.
How many ears of corn are half the number of ears of corn? ** Half the number of ears of corn is 432 / 2 = <<432/2=216>>216 ears.
How many kernels of corn does Hilary have to shuck? ** Thus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = <<216*500+216*600=237600>>237600 kernels to shuck.
#### 237600 | Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck? | |
How much does James gain in muscles? ** He gains 120*.2=<<120*.2=24>>24 kg in muscles
How much does James gain in fat? ** So he gains 24/4=<<24/4=6>>6 kg of fat
How much does James gain in total? ** That means he gains a total of 24+6=<<24+6=30>>30 kg of bodyweight
How much does James weigh now? ** So his new body weight is 120+30=<<120+30=150>>150 kg
#### 150 | James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now? | |
How much does Janet spend on clarinet lessons in a week? ** First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week
How much does Janet spend on piano lessons in a week? ** Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week
How much more does Janet spend on piano lessons than clarinet lessons in a week? ** Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week
How much more does Janet spend on piano lessons than clarel lessons in a year? ** Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year
#### 1040 | Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year? | |
How many degrees did the temperature rise in three hours? ** At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees.
How many hours will it take the air conditioner to restore the warehouse to 43 degrees F? ** At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours.
#### 6 | Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F? | |
How much did Elise pay in total? ** For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars
How far is the hospital from Elise’s house? ** Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles.
#### 5 | Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house? | |
How much does Josh make on each bracelet? ** He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5
How much does Josh earn? ** He earns $6 because 12 x .5 = <<12*.5=6>>6
How much do the cookies cost? ** The cookies cost $3 because 6 - 3 = <<6-3=3>>3
#### 3 | Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell them. It costs $1 for supplies for each bracelet and he sells each one for $1.5. If he makes 12 bracelets and after buying the cookies still has $3, how much did the box of cookies cost? | |
How fast can Tony skip? ** Tony can skip at twice the speed that Bruce can, for a speed of 1*2=<<1*2=2>>2 miles per hour.
How fast can Brandon skip? ** Brandon can skip at one-third the speed that Tony can, for a speed of 2*(1/3) = 2/3 miles per hour.
How fast can Colin skip? ** Colin can skip at six times the speed that Brandon can, for a speed of (2/3*6=4 miles per hour).
#### 4 | Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour? | |
How many lunches does Janet need? ** Janet needs 35 lunches for the kids + 5 for the chaperones + 1 for herself + 3 extras = <<35+5+1+3=44>>44 lunches.
How much do all the lunches cost in total? ** Each lunch is $7, so lunch for the field trip costs $7 per lunch * 44 lunches = $<<7*44=308>>308 total
#### 308 | Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additional sack lunches, just in case there was a problem. Each sack lunch costs $7. How much do all the lunches cost in total? | |
How old will Anika be in 15 years? ** If Anika is 30 now, in 15 years, she'll be 30+15=<<30+15=45>>45 years old.
What is Maddie's age? ** At 30, Anika is 4/3 the age of Maddie, meaning Maddie is 4/3*30=<<4/3*30=40>>40 years.
How old will Maddie be in 15 years? ** In 15 years, Maddie will be 40+15=<<40+15=55>>55 years old.
What will be their total age in 15 years? ** Their total age in 15 years will be 55+45=<<55+45=100>>100
What will be their average age in 15 years? ** Their average age in 15 years will be 100/2=<<100/2=50>>50
#### 50 | At 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years? |